Which statement justifies that angle xab is congruent to angle abc? a. corresponding angles of parallel lines cut by a transversal are congruent. b. vertical angles are congruent. c. same-side interior angles of parallel lines cut by a transversal are supplementary. d. alternate interior angles of parallel lines cut by a transversal are congruent. given: m || cb prove: m∠abc + m∠bac + m∠acb = 180°

D.  Alternate interior angles of parallel lines cut by a transversal are congruent.

Step-by-step explanation:

In the given picture m is parallel  to CB  .

Since m is a straight line and the angle of straight line is 180°  .

Therefore, m∠XAB+m∠BAC+m∠YAC=180°  (a)

Also, m is parallel to CB and AB is a transversal and because Alternate interior angles of parallel lines cut by a transversal are congruent.

⇒m∠XAB=m∠ABC  and  m∠YAC=m∠ACB

Put the values of m∠XAB and m∠YAC in equation (a), we get

m∠ABC + m∠BAC + m∠ACB = 180°.

Hence proved.

ddsf

step-by-step explanation:

dfs

9

step-by-step explanation: